Pith Number

pith:O74VPJVE

pith:2019:O74VPJVE233YOBJJ7H47FJEBQP

not attested not anchored not stored refs pending

Sharp deviation inequalities for the 2D Coulomb gas and Quantum hall states, I

Robert J. Berman

arxiv:1906.08529 v1 · 2019-06-20 · math-ph · math.CV · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O74VPJVE233YOBJJ7H47FJEBQP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:42:52.203561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77f957a6a4d6f7870529f9f9f2a48183fcec0cabf868ea9469f3e3ac91d28f7b

Aliases

arxiv: 1906.08529 · arxiv_version: 1906.08529v1 · doi: 10.48550/arxiv.1906.08529 · pith_short_12: O74VPJVE233Y · pith_short_16: O74VPJVE233YOBJJ · pith_short_8: O74VPJVE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O74VPJVE233YOBJJ7H47FJEBQP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 77f957a6a4d6f7870529f9f9f2a48183fcec0cabf868ea9469f3e3ac91d28f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3abc1254a8ee6088f24b4a83fc3820cb1365eba85132b25fbaea4327af8c3878",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-06-20T09:54:24Z",
    "title_canon_sha256": "15056ad28c3049cea8e9c1b5d93725d1543740e40969919eb8cb9b2fbf2ffb16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08529",
    "kind": "arxiv",
    "version": 1
  }
}